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A single coin- tossing experiment has two possible outcomes, namely head and tail. Suppose three coins are tossed simultaneously, the probability of getting two heads and one tail is ______.
Correct answer is between '0.37,0.38'. Can you explain this answer?
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A single coin- tossing experiment has two possible outcomes, namely he...
**Solution:**
To find the probability of getting two heads and one tail when three coins are tossed simultaneously, we need to consider all the possible outcomes and determine the favorable outcomes.
**Possible Outcomes:**
When three coins are tossed simultaneously, there are 2^3 = 8 possible outcomes since each coin can either be a head or a tail.
The 8 possible outcomes are:
1. HHH
2. HHT
3. HTH
4. THH
5. HTT
6. THT
7. TTH
8. TTT
**Favorable Outcomes:**
We are interested in the outcome where we get two heads and one tail. From the possible outcomes, we can see that there are three favorable outcomes:
1. HHT
2. HTH
3. THH
**Probability Calculation:**
To calculate the probability, we need to divide the number of favorable outcomes by the number of possible outcomes.
Number of favorable outcomes = 3
Number of possible outcomes = 8
Probability = Number of favorable outcomes / Number of possible outcomes = 3/8 ≈ 0.375
Therefore, the probability of getting two heads and one tail when three coins are tossed simultaneously is approximately 0.375.
**Answer:**
The correct answer lies between 0.37 and 0.38.
To find the probability of getting two heads and one tail when three coins are tossed simultaneously, we need to consider all the possible outcomes and determine the favorable outcomes.
**Possible Outcomes:**
When three coins are tossed simultaneously, there are 2^3 = 8 possible outcomes since each coin can either be a head or a tail.
The 8 possible outcomes are:
1. HHH
2. HHT
3. HTH
4. THH
5. HTT
6. THT
7. TTH
8. TTT
**Favorable Outcomes:**
We are interested in the outcome where we get two heads and one tail. From the possible outcomes, we can see that there are three favorable outcomes:
1. HHT
2. HTH
3. THH
**Probability Calculation:**
To calculate the probability, we need to divide the number of favorable outcomes by the number of possible outcomes.
Number of favorable outcomes = 3
Number of possible outcomes = 8
Probability = Number of favorable outcomes / Number of possible outcomes = 3/8 ≈ 0.375
Therefore, the probability of getting two heads and one tail when three coins are tossed simultaneously is approximately 0.375.
**Answer:**
The correct answer lies between 0.37 and 0.38.
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Community Answer
A single coin- tossing experiment has two possible outcomes, namely he...
3 coins with 2 possibility, head or tail.so for the 3 coins, the no of possibilites is 2*2*2= 8ie HHH/ HHT /HTH /TTT/ TTH/ THT /THH/ HTT ie 3 out of 8HHT HTH THH 3/8 = 0.37
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A single coin- tossing experiment has two possible outcomes, namely head and tail. Suppose three coins are tossed simultaneously, the probability of getting two heads and one tail is ______.Correct answer is between '0.37,0.38'. Can you explain this answer?
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A single coin- tossing experiment has two possible outcomes, namely head and tail. Suppose three coins are tossed simultaneously, the probability of getting two heads and one tail is ______.Correct answer is between '0.37,0.38'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A single coin- tossing experiment has two possible outcomes, namely head and tail. Suppose three coins are tossed simultaneously, the probability of getting two heads and one tail is ______.Correct answer is between '0.37,0.38'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single coin- tossing experiment has two possible outcomes, namely head and tail. Suppose three coins are tossed simultaneously, the probability of getting two heads and one tail is ______.Correct answer is between '0.37,0.38'. Can you explain this answer?.
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